MATLAB command for Union of an arbitrary collection of sets

Hi,

If there is an arbitrary collection of sets (denoted by a large U in mathematics), where each arbitrary set has some limit as well e.g, an index d=1 to D etc....

Can some one tell me which MATLAB command should be used for the above scenario?

[Jan]

What exactly is "an arbitrary collection of sets"? Are you talking about the elements of a numerical vector or about a dataset vector?

[Jos (10584)]

you're looking for a command UNION that takes more than two sets?

union(S1,S2,S3,S4,S4,S6, ...)

[Syed]

Simon: i am not really sure

[Syed]

i think its the elements of a numerical vecot since each set has different nu,ber of elements. e.g the first set has 1 element, the second set is a collection of 2 elements and so on...

[Syed]

you can call the sets as coalitions in a coalitional game (in mathematics its called 'game theory')

[Jan]

Please post some example data, preferrably by the Matlab commands used for their creation. E.g.:

x{1} = [1,3,45,6,2,1];
x{2} = [5,9,7,1];

or:

data.set(1).value = {23, 14:17}
data.set(2).value = {210, 15:31}

Or what ever. We cannot guess this detail. It does not matter, what these sets mean, e.g. if they are "coalitions" (what ever this might be), but only, how the data are represented and how the elements can be compared to determine uniqueness.

Answer 1

[Jos (10584)]

Here is a possible solution:

function U = munion (varargin)
% MUNION - union of multiple sets
% U = UNION(S1,S2,S3, ..., Sn) returns the union of sets S1 to Sn

U = varargin{1} ;
for k=2:nargin
   U = union(U, varargin{k})
end

[Syed]

what if i have limits as stated above in my question?

[Jan]

@Syed: The limits are not well explained yet. It is hard to guess what "an index d=1 to D" explicitly means.